Question

Find the eq of line whose slope is -2 and y intercept is 5

Answer 1

Answer:

y=5-2x

Step-by-step explanation:

we know,

   y=mx+c

m=-2 , c=5

y= -2x+5

Answer 2

Consider a line whose slope is m and has a y intercept c. y intercept of a line, we know, is the perpendicular distance from the x axis, or from the origin, where the line cuts the y axis.

So the line has a point (0, c) since the line cuts the y axis at a distance c from the origin.

We know the formula for finding the slope of a line.

m = (y2 - y1) / (x2 - x1)

Let (x, y) be a point on the line. Since (0, c) lies on the line,

m = (y - c) / (x - 0)

mx = y - c

y = mx + c

This is the equation of the line.

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So we're given,

m = -2

c = 5

Then, by the formula,

y = -2x + 5

2x + y - 5 = 0

Hence we've arrived at the equation of the line!

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